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Finding the Fourth Proportional to 438.25, 604.79 and 263.64

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Solution

The fourth proportional to 438.25, 604.79 and 263.64 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.25 : 604.79 = 263.64 : x
  2. Step 2: Convert to fraction form
    438.25/604.79 = 263.64/x
  3. Step 3: Cross multiply
    438.25x = 604.79 × 263.64
  4. Step 4: Simplify right side
    438.25x = 159,446.84
  5. Step 5: Solve for x
    x = 159,446.84/438.25
  6. Step 6: Final answer
    x = 363.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.